Question

How do you write $\dfrac{1}{9}$ as a decimal?

Answer 1

Hint:
First step is to find the nearest $100s$ for $9$. After that the student has to multiply numerator and denominator by the same number so that the denominator has $100$ or it’s multiple. After this step the student will just have to input the decimal point to get the final answer. In this fraction we can see that $9$ is an odd number , so we will have to convert the fraction such that the denominator has $900$.

Complete step by step solution:
First step is to convert the denominator to $900$.
Multiplying by $100$to both numerator and denominator , we get
$\dfrac{1}{9} = \dfrac{1}{9} \times \dfrac{{100}}{{100}}.............(1)$
$\dfrac{1}{9} = \dfrac{{100}}{{900}} = ............(2)$
Now we should ignore the denominator which has $100$, considering the fraction as $\dfrac{{100}}{9}$. We will now have to divide the fraction.
Thus the new form of the fraction would be approximately
$\dfrac{{100}}{9} \times (\dfrac{1}{{100}}) = 11.11 \times (\dfrac{1}{{100}})......(3)$
Ignoring the digits after the decimal point since we have to divide it by $100$,further.
From equation $3$ we can say that the decimal value for $\dfrac{1}{9}$ is $0.111$.

Note:
This numerical is very simple if it is done by this method. Otherwise in case of a complex numerical for example $\dfrac{{353}}{{800}}$, if the student sits and divides the numerator and denominator, he may consume a lot of time. On the contrary just multiplying the numerator and denominator by a common multiple would solve the sum faster. Thus the students are always advised to bring the denominator in terms of its nearest $100th$multiple and divide the number if it is an odd number like the above numerical and finally then convert the number to decimal. Also chances of making errors by following this method are less compared to direct division.